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Dennis_Churaev [7]
3 years ago
12

Michael can paint 1/2 of a room every 1/3 of an hour. How many rooms can Michael paint in 1

Mathematics
1 answer:
Alecsey [184]3 years ago
8 0

Answer:

1.5 rooms

Step-by-step explanation:

1/2 x 3

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Write a polynomial function, p(x) with degree 3 that has p(7)=0
MArishka [77]

Answer:

p (x) = x^{3} - 21x^{2}+ 147x - 343

is the required polynomial with degree 3 and p ( 7 ) = 0

Step-by-step explanation:

Given:

p ( 7 ) = 0

To Find:

p ( x ) = ?

Solution:

Given p ( 7 ) = 0 that means substituting 7 in the polynomial function will get the value of the polynomial as 0.

Therefore zero's of the polynomial is seven i.e 7

Degree : Highest raise to power in the polynomial is the degree of the polynomial

We have the identity,

(a -b)^{3} = a^{3}-3a^{2}b +3ab^{2} - b^{3}

Take a = x

        b = 7

Substitute in the identity we get

(x -7)^{3} = x^{3}-3x^{2}(7) +3x(7)^{2} - 7^{3}\\(x -7)^{3} = x^{3}-21x^{2} +147x - 343

Which is the required Polynomial function in degree 3 and if we substitute 7 in the polynomial function will get the value of the polynomial function zero.

p ( 7 ) = 7³ - 21×7² + 147×7 - 7³

p ( 7 ) = 0

p (x) = x^{3} - 21x^{2}+ 147x - 343

4 0
3 years ago
The window is 60 inches wide. What is the width of the window in feet.
blsea [12.9K]

Answer:

5feet

Step-by-step explanation:

1 foot= 12 inches

1 inches = 1/12 feet

60 inches= 60x1/12= 5 feet


8 0
3 years ago
What is the value of n? 9×27+2×31-28=n
Vladimir [108]
So,

9*27 + 2*31 - 28 = n

We use PEMDAS.

Multiply from left to right.
243 + 2*31 - 28 = n
243 + 62 - 28 = n

Add or subtract from left to right.
305 - 28 = n
277 = n
4 0
3 years ago
The area of a rectangular pool is 6365 m2.<br> If the length of the pool is 95 m, what is its width?
PilotLPTM [1.2K]

Answer:

67

6365/95 = 67

But if your counting METERS and SQUARE METERS

It would be 134

3 0
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a pipefitter must connect two pipes as shown the run is 35 ft while the set is 23-ft how long of a pipe will he need and what wi
serious [3.7K]
Check the picture below

8 0
3 years ago
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